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Volume preservation improvement for interface reconstruction hexahedral methods

le goff, nicolas, franck ledoux, steven owen

Proceedings, 26th International Meshing Roundtable, Elsevier, Science Direct, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

nicolas le goff, Commissariat à l’énergie atomique et aux énergies alternatives, FR, nicolas.le-goff@cea.fr
franck ledoux, Commissariat à l’énergie atomique et aux énergies alternatives, FR, franck.ledoux@cea.fr
steven owen, Sandia National Laboratories, US, sjowen@sandia.gov

Abstract
We propose a new post-processing procedure for automatically adjusting node locations of an all-hex mesh to better match the volume of a reference geometry. Hexahedral meshes generated via an overlay grid procedure, where a precise reference geometry representation is unknown or is impractical to use, do not provide for precise volumetric preservation. A discrete volume fraction representation of the reference geometry $M^I$ on an overlay grid is compared with a volume fraction representation of a 3D finite element mesh $M^O$. This work proposes a procedure that uses the localized discrepancy between $M^I$ and $M^O$ to drive node relocation operations to more accurately match a reference geometry. We demonstrate this procedure on a wide range of hexahedral meshes generated with the Sculpt code and show improved volumetric preservation while still maintaining acceptable mesh quality.

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